126241597440 has 960 divisors, whose sum is σ = 547977830400. Its totient is φ = 27136622592.

The previous prime is 126241597439. The next prime is 126241597523. The reversal of 126241597440 is 44795142621.

126241597440 is a `hidden beast` number, since 1 + 2 + 624 + 15 + 9 + 7 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 98702721 + ... + 98703999.

It is an arithmetic number, because the mean of its divisors is an integer number (570810240).

Almost surely, 2^126241597440 is an apocalyptic number.

126241597440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126241597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273988915200).

126241597440 is an abundant number, since it is smaller than the sum of its proper divisors (421736232960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126241597440 is a wasteful number, since it uses less digits than its factorization.

126241597440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 126241597440 in words is "one hundred twenty-six billion, two hundred forty-one million, five hundred ninety-seven thousand, four hundred forty".